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Finding the Fourth Proportional to 14,216.50, 21,332.43 and 6,920.50

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Solution

The fourth proportional to 14,216.50, 21,332.43 and 6,920.50 is: 10,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.50 : 21,332.43 = 6,920.50 : x
  2. Step 2: Convert to fraction form
    14,216.50/21,332.43 = 6,920.50/x
  3. Step 3: Cross multiply
    14,216.50x = 21,332.43 × 6,920.50
  4. Step 4: Simplify right side
    14,216.50x = 147,631,081.82
  5. Step 5: Solve for x
    x = 147,631,081.82/14,216.50
  6. Step 6: Final answer
    x = 10,384.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.